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Finding the Fourth Proportional to 457,374.30, 685,618.65 and 204,511.74

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Solution

The fourth proportional to 457,374.30, 685,618.65 and 204,511.74 is: 306,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,374.30 : 685,618.65 = 204,511.74 : x
  2. Step 2: Convert to fraction form
    457,374.30/685,618.65 = 204,511.74/x
  3. Step 3: Cross multiply
    457,374.30x = 685,618.65 × 204,511.74
  4. Step 4: Simplify right side
    457,374.30x = 140,217,063,087.95
  5. Step 5: Solve for x
    x = 140,217,063,087.95/457,374.30
  6. Step 6: Final answer
    x = 306,569.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.